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Finding the Fourth Proportional to 52.07, 77.70 and 51.61

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Solution

The fourth proportional to 52.07, 77.70 and 51.61 is: 77.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.07 : 77.70 = 51.61 : x
  2. Step 2: Convert to fraction form
    52.07/77.70 = 51.61/x
  3. Step 3: Cross multiply
    52.07x = 77.70 × 51.61
  4. Step 4: Simplify right side
    52.07x = 4,010.10
  5. Step 5: Solve for x
    x = 4,010.10/52.07
  6. Step 6: Final answer
    x = 77.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.